All blood pressure medications I am aware of are beta blockers and they usually lower both heart rate and blood pressure. I take Metoprolol
specifically to lower my heart rate, I suffer from Atrial
Fibrillation...which tends to push the HR up. In my case the lowering of my blood pressure isn't needed, and that can be a problem for me, that is m does of Metoprolol is limited mostly by problems high dosage give me by lower my BP too much.
As you confess, loss of weight will help all around.