Please Help My Tree

Please Help My Tree

If anyone could help me identify this tree I'd appreciate it! We've lived here for about 8 months and I think it's actually begun to look "sadder". I started deep watering it a few weeks ago and that's helped a little. It also has some dead braches on it but I don't know if I should cut them off or trim them. Any help or advice is welcome!!
what’s wrong with my tomatoes?

what’s wrong with my tomatoes?

monarch, and a tomato question

monarch, and a tomato question

NEW DORM – REARRANGED

NEW DORM – REARRANGED

Some pictures of my old college apartment

Some pictures of my old college apartment

First tomato of the season!

First tomato of the season!

I cleaned today!

I cleaned today!