You wrote
I can't, I have lots of (mistake, should be: homework) homeworks
Correct
I can't, I have lots of (fixed) homework
Words with no plural: luggage, information, homework
3 mistakes
Em português 'bagagens', 'informações' e 'deveres' vão para o plural. Em inglês 'luggage', 'information' e 'homework' não têm plural e usam 'much' ou 'a lot of', não 'many'.
Luggage, information, homework and equipment are uncountable: no -s and no 'a'. Use 'much' or 'a lot of' instead of 'many'.
Luggage, information, homework: nunca com -s.
Wrong: Yes, I have too many luggages
Right: Yes, I have too much luggage
Wrong: Yes, she gave us many informations
Right: Yes, she gave us a lot of information
Wrong: I can't, I have lots of homeworks
Right: I can't, I have lots of homework
I can't, I have lots of (mistake, should be: homework) homeworks
I can't, I have lots of (fixed) homework
Yes, she gave us (mistake, should be: a lot of information) many informations
Yes, she gave us (fixed) a lot of information
Yes, I have too (mistake, should be: much luggage) many luggages
Yes, I have too (fixed) much luggage