Why base emitter voltage (Vbe) of BJT is not showing as 0.7v in proteus simulation?
No, something is quite wrong with the model or simulator. You'd normally expect 600-800mV at the base under those conditions. 1.36V is way too high. Your circuit looks fine. Maybe try a different transistor. 

I'd also expect the transistor to be saturated so Vce should be much less than 1V. 

You can also try LTspice, a free download.