Is this the bloody show? Should I got to hospital?

I think it's too early to go to hospital. Keep calm, relax and see how things are progressing. Sometimes, even after losing the mucus plug, it takes a while for labour to start. Check for other signs like contractions, water breaking, diarrhoea, backache etc. If discharge is bright red, you must consult your doctor asap. Also, don't forget to check baby's movements.