Can't turn my iPad 4 off

yes, you can use your ipad without that, but you should pay for any internet service

There is only one way I know but you will lose everything up until the last time you backed it up ok turn it off after its off connect the cable to pc or laptop first make sure ipad still of ok then press and hold the home button don,t let go now plug in charge cable keep holding home button until you get the connect to iTunes symbol on the ipad if iTunes doesn,t open then click on it you should now see iTunes has detected it in recovery mode just click on restore or restore and update

First of all, to turn off or change settings for the passcode lock feature on your iPad you must know your passcode. If you have forgotten your iPad passcode you're out of luck.
To turn off passcode lock:
1. Navigate to Settings -> General -> Passcode Lock
2. Enter your passcode.
3. Touch the top button labeled Turn Passcode Off.
4. Enter your passcode again.
The passcode is now deactivated and will not be required to access your iPad.

You need to plug it into your computer. But first download iTunes on computer. Tha pad will do the rest. It's not broken. it just needs to load your stuff or download updates.

Don't worry, if you prefer an easier way to do the job, see how you can achieve it and get your iPad unlocked on your PC or Mac on your own with the help of this website: automaticiphoneunlocker.com

Your iPAd should see your wireless network like other devices do. Does your iPad not prompt you to connect to your home network? If it does you should enter your wireless pass key manually on your iPad.

Here is all you need to know!

http://www.userguidemanual.com/apple-ipad-2-manual-user-guide-ios-4-3-software/

If you are in the states you probably have to use AT&T micro-sim. First you have contact your wireless provider and look into a data sharing plan so you can share the data between your smartphone and iPad. As in share your monthly allowance. If you don't have a data plan at all then you have to look into purchasing a data plan from one of the providers that also offers mirco-sim, which is the kind that goes into the iPad.

In Canada it is Rogers, Fido, Telus, Kodoo, Bell.

Check your local wireless providers in other countries.

If you do have a smartphone AND a data plan BUT your provider wants to sell you on a new plan JUST for your iPAD don't do it. Consult your phone manual and google (if you already don't know how to) in order to get instructions on how to "tether", that is share your data plan going into your phone, with your iPAD so you can skip the fees altogether.

Hope this helped.

Attempt a hard reboot of the device by holding the home button and the power button at the same time. Contact AppleCare if the problem persists. Also, don't use the iPad's charger on the iPod or an iPhone. It doesn't play well with it.

Unfortunately, you're a bit stuck. The only way of removing a passcode without knowing it is to restore from an iPad backup when the passcode wasn't applied.
My advice would be to take it to an Apple Store, and explain the situation. They're always very helpful, and may be able to do something about it.
Hope that helped!