The constant fights

Hello everyone. I'm here today to ask some advice as I'm not 100% on what I should have done. Being that I'm in bronze I see this a lot ( at least i hope this is a bronze only problem ) and that being that mid/late everyone will run after someone as soon as they see them and try and start up a fight. Now let me be clear I'm not trying to bag on my team for their choices , I just felt that with us being 3 towers behind the enemy team we really shouldnt be looking for fights when we could have just as easily taken a tower.

Here's a little more clarity on it however. In this game I did get a lead as ori and yes that can enable for some really good fights the downside being that no one else really did much damage aside from the Vayne, because of their Garren and shyv the fights could drag out for awhile. Now I know what you are thinking hmm Garren .... Shyvanna and you have a Vayne the teamfight should be in your favor The vayne however was always the first to die and not because of lack of peel for her. So by the time the fights were over when we actually won them everyone else would back and lanes would get pushed in by minions making us not able to actually get a tower by the time everyone backed and pushed in.

So the question is should I have split push more? Or should I have just trusted my team more went for fights and then tried my luck at soloing towers? I mean I took 2 out of the 3 first tiers by myself and one I tanked cause no one was gonna run up and hit it the last 2 times it needed. Should I have tried to take charge more and lead the team? I just really dont know the answer to this one and yeah its to vague to say for sure. Just what do you do in these moments buy a sightstone and split push?

Again not complaining at my team I see this as a fault on my part but would like some input on possible things I could have done.

Thank you for your time