Easy bruising is a known side-effect of Entocort. Constipation may or may not also be related to the Entocort (it constipated me...). Also, if you've done anything different with your diet, then that could be contributing to your constipation. And we all know stress can play a role in gut function.
I agree with the others, though, that a routine cbc may shed some light on what's going on and at the same time shouldn't be too unaffordable...
Gluten & Sulfite Sensitivity, Many Food/Inhalant/Medication Allergies & Intolerances, Asthma, Gut issues (dysmotility, non-specific inflammation), UCTD (Lupus?), Osteoporosis, Anemia, T- & B-Cell Lymphopenia, malabsorption/malnutrition, Lyme Disease (Igenex Lab IgM WesternBlot positive/CDC negative), etc.
Meds: Pulmicort, Injectable Vitamin B12, Herbs, Nutritional Supplements, Homeopathy.