I would add:
1) ten doesn't sound like a lot, but this depends on the intervals for the timers. If they fire every minute, no problem at all. If they fire every millisecond, you could have trouble. I imagine it wouldn't be too hard to formulate a test page. Maybe toggle the color of some DIVs between two colors using timers. Create a drop down or slider or something to change the interval from say 1000ms to maybe 1ms. Should give you some idea of where things break down. This would certainly vary depending on the hardware.
2) I don't know any stats either, but would point out that there are security tools like noscript that some savvy users may utilize which would prevent JS from running. You should utilize the <noscript> tag to inform users who block your JS that it's required.
3) I would say that depends entirely on the phone or the desktop system. A latest generation, top-of-the-line Alienware gaming rig is going to be waaaay faster than iphone 3 or some of the crappier android phones. I do not know about the iphone refreshing every time. I can think of one easy test. Just load this in an iphone browser:
<?php
echo microtime(TRUE);
?>
Then switch to some other tab/window in your browser and then switch back. If the time stamp changes, then YES it probably does. You may be able to alter this behavior by sending cache headers -- but that may work against your desired behavior.
4) This is a bit of a tricky question. I could be totally wrong about this, but I think when you refresh a page that the browser will destroy/reset whatever timers might have been defined by the contents of that page and then run the JS in the page all over again. I'm not sure what functionality you are shooting for, but perhaps you can construct your page such that PHP running on your server maintains enough state to create the appropriate timer function if the page gets refreshed. E.g., if it's a countdown timer, tell the server what you are counting down to and it can construct the appropriate timer to display that countdown. Like this page: http://oldgreyhorror.com