How do I get a kindle app. and flash 10.1 on my archos 101?

Almost certainly you have a broken screen. Replacement screens run about $140 and are not very difficult to replace yourself. A website that provides these screens and a "how to" video on their replacement can be found at: http://www.laptopscreen.com/English/model/Archos/101%20G9%20TABLET%20TURBO/
Be sure that you are requesting an exact replacement before ordering. I am not affiliated with this website, and am sure there are other sources.
You may wish to search eBay for a used "for parts only" replacement at a fraction of the cost such as this one which last bid was a little over $10: http://www.ebay.com/itm/Archos-101-G9-TURBO-10-1-8-GB-Tablet-no-power-/111364604971?pt=US_Tablets&hash=item19edd9042b
Alternatively, you can buy a nice used one for about $100 at: http://www.ebay.com/itm/Archos-10-1-Android-Internet-Tablet-101-16GB-Wi-Fi-IN-BOX-with-access-501594-/251536519730?pt=US_Tablets&hash=item3a90beb232
I personally would go with the last choice and keep yours for spare parts. Good luck!

Archos have their own version of apps store which has a limited selection of APPS. There are customised updates that will give you access to other apps you can find by searching the internet but they come with some risk......

As of end of 2010 Archos had as far as I know not released a aproved flash player for the 101. I know some people have had some success running flash players from other paces. Try checking for unsupported players on the marcetplace, or try this.

http://www.megaupload.com/?d=LCLJY2D4

I can not say it will work, or work 100%, but some have reported this to be working.

Archos continues to say the official Flash update is coming soon.

You can get a beta Flash version here , it's taken from a Droid X (very similar hardware)

Try this:
Power your Archos 101 off by holding the Power Button for 10 seconds (this fully shuts it down).
While holding the Volume + button power it back up (tap power button to start up, hold volume until the tablet enters recovery mode, you'll see a series of choices instead of the demo mode).
Choose the Format System option.
When this process is complete make sure not to select Demo Mode as Android boots and the Archos 101 gets up and running.

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.

Here you go.

Betty,
Archos has been saying Flash would be officially available for some time now, but it's still not out. There is a beta version that I'm using, works great for me:
First step to getting Flash working is to go to your settings menu, then Applications, then check the box to allow for Unknown Sources to be installed.
To get a Beta version of Flash working use this link (from your Archos tablet):
http://ge.tt/36fA44X
You should be prompted to install this APK file on your Archos 101 after it's downloaded, this will give you a decent version of Flash (it's taken from a Droid X which has similar hardware to the Archos 101).
The Version number of your Archos 101 firmware is different from the Android Operating System. Version 2.1.8 is the latest Archos firmware as of Feb 28, 2011, this is Android 2.2.1.
To force an update, you actually need to connect the Archos 101 to the internet, not to a PC. Once you're connected to a Wifi network and have access to the internet, go to your Settings, then scroll to the bottom to About Device. On this screen is a Firmware Update option, this will check for and download the latest. Once it's downloaded you'll be prompted to plug your tablet into the charger and restart it to apply the firmware.

2 ways:
1. Copy sermon files from laptop to USB drive, then mount USB drive to Archos, go to files, external drive, copy files to ARCHOS from USB drive.
2. Connect laptop to Archos with USB cable & copy or drag files from laptop to Archos

Note: You will then need a reader / Office Suite/ or other app to view the sermon files. I assume the files are .doc files. Excellent app for this is Docs to Go.