After inserting the glycerine suppository it slipped out after 3 minutes. No bm after 1 hour. Should I use another one?

Suppositories. Yes, go ahead and try another one. 3 minutes is not long enough for it to get absorbed and start working, especially if you saw it intact when it came out. To prevent constipation, consider adding fiber to your diet (beans, fruits, veggies, whole gains) and limit cheese and meats. Drink plenty of water.