If you go out with club members and they don't designate someone to ride with you if you fall behind, it would be better to find another club.
On the other hand, have you mentioned your parents reasonable worries to any of the club officials? They may think that you've no problem with being dropped, unless you do so. If they have any sense of club responsibility, they'll do something about it. If not, other forumers have given you other clubs to contact.
If you want to race when you're fit enough, check to see if the clubs you contact have a club coach/coaches who can help you on the fitness front.
Anyway, good luck and keep at it.