etc. = et cetera. This is Latin for 'and so on'.
h.w = not a standard abbreviation, but it could stand for 'homework'
e.g = exempli gratia. This is Latin, and we use it to mean 'for example'
v. = versus. A Latin word meaning 'against' or 'compared with'.
The following are not standard abbreviations. They look like shorthand notes that a waiter or waitress might make when taking orders.
gr.fish = probably 'grilled fish'
fr.chick = probably 'fried chicken'
r.choc.c. = some kind of chocolate cake, perhaps
app.ju. = probably 'apple juice'
fru.sal. = probably 'fruit salad'
min.wet. = no idea
The following are school subjects:
PE = physical education
RE = religious education
IT = information technology