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i think i would like to advise you please open the laptop and apply some cooling paste around processor and clean the laptop using the Use your compressed air can to blow dust and clean the ram . cutdown some programs and start up program for more visit the post http://fixingblog.com/fix-laptop-overheating-keeps-turning-off/ and see if this can help . thanks
i had the same issue with my internet last night . try rebooting the router and check the modem connection . the cable which is coming from modem to router unplug the cable from router and connect with computer and reboot computer and modem and see if the modem is working . checkout this blog if you have issue with wireless connectivity http://fixingblog.com/windows-laptop-wont-connect-wireless-router/ . see if this all works thanks