Coughing right after wisdom teeth removal?!

It might, depending on how durable the stitches are and how well they were put on. As far as blood when you spit, yes that is normal. My dentist actually told me to avoid "forcefully spitting" for this reason, unless I needed to.

It's fine as long as you don't spit constantly, which I doubt.

EDIT: yeah it's not out of the norm if it's somewhat painful to swallow, unless it's excruciatingly bad. Especially if it's the first or second day; I remember it being very uncomfortable to eat anything during that time. Just got to make sure you eat soft, easy-to-eat foods -- in case you aren't already yet.

some blood that is normal if its alot of blood your stitches are probably open cough could hurt your stitches so just be carful not to bite on anything good luck and take care

the blood thing happened to me it's normal