I agree with Flyboy;
60 hours and no solo or solo X country yet? 5 knot wind restrictions?
I've never heard of anything like this. It could be that the flight school is stringing you along to get more money out of you.
As for weather in Southern California, a student can probably fly 90% of the time here. The exception being at airports near the coastline such as Santa Monica, where early morning and late afternoon low clouds can interfere, especially in May and June. That being said when I used to instruct there I think I was able to get my students flying 80% of the time.
Suggest you look at schools in Van Nuys, Chino, Riverside, Montgomery field.