Welcome!!

For your issues I would imagine it's one of the following:
You are not using a properly sharpened razor (Many brand new razors claim to be "Shave ready" and they really aren't)
You are using WAY too much pressure (you want NO pressure, it takes some doing to get the feel for this but it will happen)
Your angle is WAY too high (Keep it under 30 degrees!!!)
You didn't strop before the shave (it does matter)


What Razor do you have and how are you preparing it (ie stropping etc)?