Unable to get connected to the internet and the app market

Can you specify what tablet you talking about?
Your internet connection is for wifi or data plan?

Are you sure you are connected to the internet? Can you visit webpages?

Have you tried restarting it?

You can also try updating or reinstalling the facebook app.

Of course. You first must be connected to the Internet via wi-fi or cellular connection (not all iPads have cellular). Once you have set that up (which is one of the first things you do when you set up an iPad), the Safari browser (the icon with the compass) and many (most?) apps connect to the Internet. Although you can look things up through the browser, many services have separate apps to perform their function, e.g. Yelp, Facebook. Apps like Weather retrieve their information from the Internet without having to go to a specific site, and apps like Notes sync your notes on the Internet (and may be available on your computer, as a result).

In fact, a large proportion of your activities on the iPad can't take place without a connection to the Internet.

If you need further help, reach me via phone at https://www.6ya.com/expert/john_77bb351c0c06b354

Your question is quite vague. Make sure you are connected to a source of internet. If you are you may have to just restore your tablet to factory settings.

When you tether with your Android-powered smartphone, you can connect to the Internet on your computer from any location covered by your cellphone service provider's network. Tethering allows your phone to act as a modem for the computer. Tethering applications such as Tether for Android allow you to set up tethering without the need to root your phone. Before tethering, check with your cellphone service provider to determine how much data you are allowed to use without incurring data charges. Excessive use of the Android phone as a modem can cause you to exceed your allotted data.

Search the Android Market on your phone for a tethering application. Applications such as EasyTether and PdaNet are available to download for free. Download the application from the Market. Installation begins immediately after the download. When installation finishes, an icon for the tethering app is placed on the Android's expanded home screen. Open a Web browser on the computer and access the site specified in the tethering application's description in the Market. Download and install the USB drivers needed to tether from the site. When installation is finished, an icon for the tethering application is placed on the computer's desktop. Tap "Settings" on your Android phone, then tap "Applications." Tap "Development" and enable "USB Debugging." When the field turns green, it is enabled. Connect the phone to the computer with its USB cable. Launch the tethering application on the phone. Launch the application on the computer. Click the option to connect to the Internet in the home screen. When the connection is established, confirmation is displayed in the status window.
Android 101: Tethering
http://www.androidcentral.com/android-internet-tether EasyTether shares your Android smartphone connection with your PC. http://www.mobile-stream.com/easytether/android.html

Internet Explorer cannot be installed on an Android tablet. You may use the browser pre-installed with the tablet to access internet.
You may check the Android market website for available browsers.
https://market.android.com/

Make sure you are connected to the internet. Open the "Market" app (you'll need to set-up a gmail account & logged in into it via browser). Search for "adobe flash" & download the first app..

You can connect you Archos to you computer by the USB cable which have came along with the tablet.
From tablet you need to choose mass storage device when you connect the cable. Once Mass storage activated you will see your tablet or SD card on your computer. You can copy paste or drag and drop songs from your computer folder to archos tablet Music or Media folder.
Or
You can use various Sync application from Android Market. Below given link is to list of applications available on Market. Please read description before you purchase or install any application.
https://market.android.com/search?q=itune&so=1&c=apps

first you will need to go to Settings > applications > and then checkmark unknown sources. Then you will have to go to your file manager (like astro) and click on the .apk. The android installer will run and install the app.