When I first got Bailey, I had recently lost Tiffy - another Yorkie. I had nursed Tiffy through her last 6 months of life til it was more humane to have her put down.
I got Bailey when she was 9 weeks old, and during the first week while leash training her, my I tripped over a loose piece of pavement. I broke a bone in my arm, gashed the bridge of my nose with my glasses (requiring stitches), scraped my knee and had a few more bumps and bruises. I did all this in order not to fall on her.
During my recuperation, I had to take care of a new pup (ya know, constant trips outdoors to housebreak, stopping chewing, crying and all the hassles of a little one. There were times when I thought, "I have to give her back" "I can't handle this". But, I stuck with it, slowly my wounds healed and very slowly Bailey got through all the pitfalls of puppyhood. I felt overwhelmed, to be sure, but I am so glad I didn't give up. She is such a joy.
Hopefully, you'll get through your hard times and you will be able to look back on this and be happy you persevered.
By the way, you didn't specify the illnesses. Maybe folks on this forum can be helpful to you.