Hi,
now I ve watched the first video and have to add some general beginner bard recommendations:
- I noticed you use your skills actively. Bard is support only.
A thing I ve been struggling myself with when I switched from sorc to bard. I wanted to do damage. Not possible. Not made for. Use your skills reactively. For the beginning.
I sometimes fall into that behaviour when my dps team mates are weak. If that happens, well the better team wins, in this case it will be the opponent team.
- Go with one of your team mates if triangular formation is not possible, whichever is your better class or player also in terms of player cooperation.
In lower elo games, triangular formation is mostly not possible, where bard is in the backline.
Your team mates have never thought about how squishy you are or that it could be helpful to peel for you. So stay close enough to at least one of your team mates to use your skills.
And when somone is attacking you, your team mate will just notice there is another one to finish off. 
I ve been trying out different strategies because the team was splitted on the map watching out for every team mate equally, because I had two team members to attend to. Dont do this! Its not possible.
As bard main I pretty much like to go with artis. They are slow and seem to have nuke all the time. You can also pull opponents into artis fire. Everyone likes to finish of a bard and will follow you, especially when you seem to run away. 
Sorc is also pretty good to go as you can peel for each other very well.
Every class who can frontline for you or with you will do fine. So go with them. Well you should also take into consideration that you are not two against one and leave the other team mate with two. Depending on the situation, be there where two enemies are.
Though there are some opportunist/ dps support classes who needs to be pretty egoistic by class nature, at least at the beginning, as they watch out for themselves and are running around elsewhere, which is obviously their position in team, disctract whoever is in the opponents team to disctract.
This would be for example shadow hunter, deadeye, soulfist, glaivier. If there is no additional frontline it might be more difficult to support.
Gunslingers tend to be also everywhere, but they also are doing very very well with bards. And they are easy to babysit. They can frontline for you and when she s done you put a healing circle in reach of the other opponents and attack from afar while healing.
No comments to striker. They will just sit on you. So stay close or pull them to your team mates.
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Finish off same targets to have the advantage being for example 3 vs 2. And keep looping.
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Use your rhapsody whenever you can on your team mates. Its essential to reduce damage.
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Stay away from shadow hunters. She will cancel your skills.
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Watch out for someone who is about to flank you, coming back from cool down breaks. Either stun them or cut the way by using sonic vibration inbetween to get away.
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If striker or glaivier is in team, I am pretty busy to use most of my skills on myself. They wont stop. So dont let them split you from your team.
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If you are definitively about to die, dont use skill anymore. They might be cancelled and on cooldown then.
If you dont use them you will have them available with full hp and a better positioning to use them. I mean not in situations like last couple of sec. in game and you have rhapsody you could use on yourself. In that case use it.
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For Bard good positioning is vital.
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Dont know if rising is still possible in ranked as beginner player as bard with low participation in pvp and huge mmr differences in matchmaking and the season is going to end soon.
Bard is pretty dependable on team mates and communication. As you dont have that in single q with unexperienced players its pretty hard.
Edit: Cindydramg, grandmaster bard, points out that its harder to survive in course of the recent nerfs for the bard and to rescue your team mates.
Edit 2 - Videos:
Nr. 2: Just watched the first seconds.
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Heavenly tune was a waste, because your team was attacked. Use it when you see your team is going to land a hit. And use it when team mates are in reach. When you use it while you are alone it wont help so much.
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Then you leave your - what was it, squishy shadow hunter? - alone with two! ^^
She was still being attacked. And you march away making a curve in the opposite direction.
I would have either marched alongside the two on the left hand side to slow them down making hold in reach to use soundholic on one of them to give my team mate time to stand up and attack and force at least one of the other team members to dash away or withdraw.
You could also have pinged to draw attention to the sorc to come making and early awakening which should the opponents make to withdraw, so your team could structure and collect a bit more again.
I just see the sorc couldnt have come as she was stunned by the gunslinger. But I believe she also made a mistake in the beginning, running around in “payback” to the gunslinger who knocked her off the feet not seeing the danger on the left hand side.
Payback and hurt feelings might also be a beginner problem instead of focusing and seeing where the next danger is to be fended off or an opportunity is to attack.
After that, you come back to watch if the shadow hunter is still alive. 
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Else, when I am the lone surviver I try to lure the enemies to the sides so my team mates would have the possibility to get out savely out of their base. Mostly you are dead anyways if they are two-three versus one. Just stall them down as much as you can. They will hunt you, so best is to use march. They might stil be slowed while your two team mates are approaching.
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I also do pen and paper rpgs where classes can make themselves invisible or hide in shadows.
So our team sometimes decides for the squishy chars not to use invisibility or to hide in shadows in certain situations as strategy to offer themselves as targets so the front fighters can survive and the damage can be distributed to many shoulders.
This might however be dependable on the knowledge over the skills of the opponent classes what area spells are still left. It might be helpful not to stay within range, but be visible like offering yourself as target and draw attention.
That might create the opportunity for your team mates to attack.
Which might be equivalent to the statement of GM Laufie that she is scared when her team members try to peel for her. Let her take the damage, cause she can heal herself.