Hi- I'm an NQT, so I'm about a year ahead of you.
With the homework issue, I'd be led by the usual class teacher. Do they believe this student has a reason why they can't do homework? If not, then you need to work with the student to find a solution- but equally give them sanctions so that they realise the homework isn't optional.
My PoV on homework is that I try to set homework I think will be valuable and worthwhile, but not a brilliant use of classtime- e.g. learn the key words, practice this skill we've learned in class, etc. I also offer support (as does the school) to any student who wants/needs it. I do make one off exceptions for students- but I wouldn't make an ongoing exception except in very extreme circumstances (e.g. seriously ill parent, homelessness etc.) and even then, I'd try to work with the student to find a solution as well.
With the misbehaving, I think you have to try to take all of the emotion out of it on your end. The misbehaviour isn't personal, although kids don't like change and may resent you for being new, or try to test your boundaries. However, equally, it might be about something nothing to do with you! If you carry every incident with you and obsess over it, then I think it will really wear you down.
Definitely reflect on things and learn from them, but often there's no perfect way to deal with the situation. I try to always be firm and consistent, and usually (but not always) I will aim to de-escalate the situation and appear totally calm (even if I don't feel it). I always tell my students they have a blank slate the next time they come into my room- and often I even look for something to praise the next lesson if at all possible!
I think, unfortunately, if you really let behaviour get to you, you won't last long in teaching.