this isn't std related.
at this point you should see your regular provider for a basic work up and go from there. this could be any number of things from allergies, sinus infection, chronic tonsilitis , GERD etc.
since std's are on your mind, certainly you and your partner should follow up with full std testing so that in the future you don't have to even think std's as a cause of any symptoms.
also as Vance already said, whether or not your swallow has nothing to do with std risk. std's are transmitted through the sex act itself and semen in the stomach is not an increased risk for std's.
grace
I used to smoke during the summer but stopped in August.
Kheit,
Are you a smoker? If you are, then this will explain your productive morning coughs. Secondly, as Vance points out - You sypmtoms are not indicative of an STD. The problem is that your symptoms are mutual to thousands of conditions or ailments.
Take the advice and test with your partner.
Adam
Also in the mornings when I need to spit out the mucus there is also a bit of blood...
I still need to speak to him about it and I'm going to ask him to get tested, too..
Spit or swallow it doesn't matter. No your symptoms do not sound like a STD. Have you spoken to your bf about STD's? Have you and him tested? If not both should to make sure.