No power and won't boot suggest a power supply problem in the tower--it is listed as a desktop unit.
What is common on a lot of units (computer towers, TV sets, you name it) is the stand by power supply which is on 7/24 fails.
The most common reason is filter caps dry out because cheap ones and ones rated too low a voltage are used.
The beauty of this is if the power supply is removed and opened you will be able to SEE the bad ones.
I will attach a photo of bad caps--tops which should be perfectly flat are puffed up from a little to a lot and or brown material is seen at top and bottom of the cap.
I have fixed many towers (desktop units) and other equipment with this problem---most of them at first had to be turned on a few times to get them to come on--it gradually gets worse until it will not make it on.
If bad caps are found you can usually buy a replacement supply at a reasonable price or replace the puffed up caps (seen as many as 8 bad in one computer tower).
This answer is based on the information you provided in your question and the answer from personal experience.
SD TECH
the two larger ones are bad for sure.
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