thank you for your query.
Firstly, you are having bleeding following intercourse.
If for the first time, the bleeding could have been a hymenal tear.
If not, then it could indicate cervical growths, cervical polyps or erosions.
if you have been regularly having unprotected sex, yes, an early pregnancy
also could present this way.
Please do not have unprotected sex unless you wish to conceive.
with the problems you describe, please consult a gynecologist at the earliest