Should I try to gain weight?

Hey ladies, Lots of details here, to explain my situation:
I'm 5'1" and 100 pounds
I have a 6 month old, she breastfeeds, and is in the 60th percentile in weight
I was 114 before getting pregnant
I'm going through a divorce
The baby and divorce are so time consuming that sometimes I forget/don't have time to eat
When I do eat, I rarely feel full, even after having seconds and thirds
I eat very healthy food, mostly vegetarian. I do not eat dairy, but I'm not vegan. I eat eggs every day. 
I'm rarely very hungry
My question is, do you think I'm unhealthy? Do you think I should gain weight? Once I'm ready to date again, do you think men will be attracted to a skinny girl?  

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