RIGHT OR WRONG

Right

As a sending off is sorted out by the FA not just the league the player was sent off in therefore should carry over to any other leagues too.

This is my personal opinion i know others will differ.

Depends what you get sent off for. Suspensions don't automatically cross over these days.

they do and i agree with you it depends what for

I can guarantee you they don't. It says on the suspension when and what football you are suspended from. It may say saturday football only 3 matches, or all football 3 weeks.

A red card does not automatically rule you out of all football

Sending offs do not cross over unless the offence is so severe it warrants being banned in all football.
I agree that you should only be banned on a Saturday if sent off on a sat and the same with sundays! You used to miss 12 or more games for a 5 week ban. Now you only miss 3. Good decision by Durham to do this I think.

Dead right. Wearside suspensions are on match basis, you have to inform Durham which matches the player will miss i.e. sat, wed, sat. Sunday suspensions are on time basis, two weeks from the 15th etc. they dont cross over, so you can be out on a sat but play sunday and vice versa. I believe in certain circumstances the FA can overule and ban players for both.