You are having bad run on timers.
At least your car is working and the whole house fan motor-winding didn't overheat and stop working.
The problem with timers that don't work is that you have the timer and can fiddle with the settings.
The expert is just guessing at a possible causes, and at the end you still have a timer that doesn't work and might wish the expert can drive over and sort out problem > but that isn't going to happen.
The free answer is not interactive, so for best possible answer, re-post question and pay for interactive answer with expert who can suggest things, and then you try that and give feedback to expert, and then try next thing and give feedback, etc.
Before you pay for answer, let me make free guesses for your benefithttp://waterheatertimer.org/Woods-timers-and-manuals.html#troubleshoot
It seems you are experimenting with different loads and each load is causing same result, so that implies that timer is probably the problem.
You do not mention trippers, so maybe you don't have turquoise 107TN222 on-tripper and red 107TN221 off-tripper in place or pushed all the way down.
Maybe your timer did not come with trippershttp://waterheatertimer.org/Intermatic-trippers-and-parts.html#trippers
You don't mention if your Load is turned on > for example turn on the light before plugging into timer. The timer does not reach up and operate the on-off switch on a lamp for example.
You can manually rotate timer dial clockwise and that will cycle through entire day. Manually rotating dial will let you test tripper and and switch settings.
Some timers are 'vacation timers.' TN111 is not vacation timer, but vacation timers are factory preset for on-off times and cannot be set by customer.
Maybe you do not have T111 timer: Open link to identify timer.http://www.amazon.com/Intermatic-Lighted-Dial-Timer-settings/dp/B0044YLRNC
Maybe you got a bad batch of timers and they are defective. I test timers and 4-6% of in-wall and plug-in timers arrive defective. Intermatic makes a top-notch product.
Your yard light timers are probably not related, but open first link to see cross section of yard timers. Most timers come with 1 year limited warranty, so if all of them stopped working at same time, maybe a dust storm put particulate in the clock gears, or maybe a power spike fried the clock motor electronics.
Use cheap circuit analyzer from home center and check outlets for problems.
I suggest whole house surge protector which is more costly than timers, but will protect things that are on not on a surge protector, like water heater electronics, whole-house-fan, heat-AC, refrigerator, circuit breaker panel, etc. Surge protector will protect from lightning strike, and is replaced after each event.http://waterheatertimer.org/Intermatic-trippers-and-parts.html#surge