You cannot be pregnant and still have periods. Most likely it's something else that's causing your periods to come later these past 2 months. Of course, there is nothing to stop you taking a pregnancy test to see what it says, but like I said - it's very unlikely you're pregnant since you're still getting your period. Symptoms don't determine a pregnancy. They can be symptoms of so many other things as well.
How late was your cycle? If it's been doing this past 2 months then maybe it's just your period has a new 'cycle'. That can happen from time to time for no reason at all.
You can get your period and be pregnant. It is very possible. Take a test if its negative give it some time you keep feeling that way go to the doctor.
You can have some vaginal bleeding when pregnant but NOT a period. A period is the shedding of the uterine lining and unfertilised egg each month if pregancy has not occurred - hence why you cannot have a period when pregnant.