Post Breakup Advice?

I broke up with my boyfriend a month ago. I didn't know when the right time to break up with him would be so I just did it anyway even tho he was going through personal/family problems.

A month passed now and I really am worried about him. I want to know if he is okay with his family problems since I do care for him, just that our relationship and our love wasn't as strong as before.

What do you guys think about me texting him and asking him on how he is doing? telling him that I hope everything is okay and that if he needs anything I am here as a friend for him and wishing luck for finals? Is that appropriate?

IF not, what can I do to keep that out of my mind of him being okay?
Post Breakup Advice?
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