There is small watch-sized battery (usually a CR2032) on your motherboard that maintains your BIOS settings and the computer's time. If the battery is dying the time would be lost every time you turn your computer off, forcing you to reset it upon boot. That also explains your e-mail troubles. There are little files called cookies on your computer that store your username and password for sites you have to log into. With the timing being off on your computer, the cookies would be invalidated, meaning you'd be forced from your accounts or not be able to log in in the first place. Replacing that battery should solve all of the problems you've listed. For instructions on opening your laptop, consult your owner's manual.
Hope this helps,
I have a Winbook x2, pentium processor, Windows xp pro. Two problems. When I power up I have to go to setup and input the correct date and time even if I save the changes. This has been the case since lost in the airport and recovered 3 weeks later. Second problem is when I am loged onto the net. When the site has a link that opens in a new window the window is always blank. I am unable to retrive netmail when traveling due to this problem? Any idea's how to solve? Thanks