If a 2TB My Passport works with the SONY LED TV … then a 1TB Elements should as well
(I own 3x 1TB Elements Portable HDD’s all work FINE on my Panasonic Plasma TV)
First thing to check is, how is the 1TB Elements formatted ? eg. NTFS, exFAT etc
and the next thing is what is the Format Partition Type ? eg. MBR or GPT
Then you need to compare all these findings with your working 500GB and 2TB and see what’s different.