Different price range...The SD7 is more than twice the price as the EA7... If it is not a factor...bang for the buck goes to the EA7...and that includes your other keyboards..
I like the SD7..bass and drums (Ketron strength ), nice touch screen.. Just don't play a SD7 next to an Audya..you will notice the sound difference easily..
BTW: bass and drums is not important for nursing homes...it would not be appreciated,,.
I chose the EA7 for nursing homes and other short in and out gigs.. You can play a EA7 next to a G70 and still appreciate the sound.. I prefer the sound over everything you currently own..
It is as deep as your PAx4..If you can get around on the Korg you can conquer the EA7.. Most likely there will be many features you will not use, as on the Korg..like sampler, but if you get into it you will like the features..
Media playback is one of the best..
Since I really like the SD7 the choice is right for both...but giving what you already own...go for the EA7...it is the value choice the will do the job..