Hi there - based on the results you have offered, there is no reason or indication to take
heparinHeparin
Heparin sodium
Heparin sodium-sodium chloride. A high Protein C is OK - it is protein C deficiency that may be associated with
recurrentRecurrent cystitis pregnancy loss. You anticardiolipin IgM in my opinion is not elevated, and making the diagnosis of what is called 'antiphospholipid syndrome' requires two elevated values at least 6 weeks apart.
As for aspirin, low dose ASA (81 mg tablets) once a day may be helpful simply from the standpoint of improving uterine blood flow and therefore implantation, so my thoughts are that low dose ASA might help, won't hurt, and could be taken. Make sure it is low dose though, too high a dose (the regular adult strength) can, in theory, have a negative effect.
After three miscarriages, I agree it is a good idea to see and REI. Most of the time everything tests out normal and you have a successful pregnancy the fourth time, but it is definitely worth looking for any contributing factors to the miscarriages that could be treatable.