problem from the cold?

last Saturday i took the barracuda out for a spin. it died after being on for about 10-15 min. i was at a turn and it just stopped. i eventually got help and i think it was the choke cutting off the air too much. but now i started it in the driveway today and cleaned the choke with carb and choke cleaner. and it just shut off. i know if some carb cleaner got in the intake it would stutter for a sec, which it did, but i dont think i got enough in it to make it just die. i just let it be and went to school after that. now the starter is barely moving and after 2 or 3 cranks the starter relay just starts clicking and nothing happens. i dont know where id be loosing power and why it would happen that quickly. is there a power problem or power leak somewhere that could have happens?

oh yeah, and both days the temp was in the mid to upper 20's maybe low 30's