Question about my cycle

I have a very regular period, it comes every month on the exact date it should (give or take a day, sometimes). I only get it for 5 to 6 days. Can having a regular period every month higher your chance of getting pregnant? I also read that woman with shorter periods are able to get pregnant faster, but I don't know how true that is. 
Also, I had a miscarriage and a d&c 5 months ago in June. Is it true you're more fertile after a miscarriage and d&c? And if so, for how long?