Dryer put in climate controlled storage 2 years ago. Recently placed in apartment and new cord installed to match outlet which was confirmed to be hot. Dial is turned and pressed but nothing happens, no sound, no lights, nothing. Double checked new cord connections. How can I trouble shoot. Is "start" light supposed to come on when plugged in? Dryer looks excellent but remains silent!

Here are your parts includes a wiring diagram
Replacement parts for MAYTAG PYET244AYW | AppliancePartsPros.com

Sorry but I do not see a start light anywhere in the wiring diagram or the parts breakdown.

Was the power checked with a meter.
You need 120 volts between L1 and Neutral.

Your start circuit is fairly simple and can be checked with a meter.
Circuit path: NEUTRAL , THERMAL FUSE , DOOR SWITCH , MOT0R PROTECTOR , RUN & AUX motor windings , PUSH TO START switch , L/M timer contacts , L1

The door switch, thermal fuse and the start switch would be the most likely.

If you do not own a meter, I would suggest you purchase a one. You can get a decent digital multimeter for under $20.00. You do not need fancy though it is nice if the leads are a couple feet long.
If it saves ordering one unnecessary part it has paid for itself and you end up owning a useful tool.
Most places will not let you return electrical parts so if you order it, you own it.
A couple things to watch when measuring ohms and continuity
1. Always remove power from the machine otherwise you could blow your meter.
2. Always disconnect at least one side of any device you are checking. This eliminates the possibility of measuring an alternate/parallel circuit path.
3. When checking for closed contacts and continuity use the lowest scale (Usually 200 ohms). Then try higher scales. This scale is 0 to 200 ohms so if the device you are measuring is 300 ohms this scale would show an open circuit which it is not, you are just measuring outside the scale's dynamic range.

There is a good STICKY at the start of this forum about it's use.