will not cause bleeding, as it is just a stool softener
can lead to hemorrhoids, which can then bleed when you move your bowels. If you have severe constipation then you can develop rectal ulcers or fissures, but this is less common, particularly if you are only 33 years old.
I would suggest you taking a laxative together with the stool softener. So in summary you should continue with your dulcolax and add something like miralax, milk of magnesia
or citrate of magnesia.
The fact that you had some bleeding is again likely hemorrhoidal, but if you haven't had a colonoscopy
then you should probably get one just to be on the safe side.