Pregnant with a 2 month old

Hello ladies , I’m a first time mom . My son just turned 2 months a few days ago. Sooo recently I had my 6 week check up and I requested to be put on birth control. Unfortunately I have shitty doctors and they told me I would have to make another doctors appointment in order to get my birth control. They ended up referring me to another location because the type of birth control that I wanted they weren’t able to do it in their office. I call to schedule the appointment and they tell me there booked for a couple weeks . Sooo in the meantime me and my husband are having sex here and there but one morning we both were so tired while we were doing it that he forgot to pull out (we’ve been using the pull out method but yes we’re aware that it’s not 100% effective)... at the time he didn’t mention it until later on in the day so I had fell back asleep without knowing lol . Anyways 3 days later I ended up going to the restroom and when I wiped I had light pink discharge .(possibly implantation bleeding) after that I had no spotting bleeding or anything what so ever.... now I’m nervous that I might be pregnant again. My next period according to this app should be in 7 days ...