…just to add my two-cents worth…
If the lines you describe are dropouts – white lines with no picture information at all – the tool you are looking for is called a drop-out compensator. Pro level tape decks included these as an option. They were available on some high-end VHS decks.
You could try using a second video copy below the main video. Use luma keying on the top layer to detect the white lines; blur the lower layer and/or offset it a few line vertically.
The blue screen problem is probably caused by the tape deck thinking that the noise is a copy protection technique. Also, playing damaged video on VHS decks with TBC sometimes makes the video worse. The noise on the tape can fool the TBC to generate sync pulses at the wrong time, resulting in jitter or roll. You may want to switch off the TBC or try a different player.
All of this is from the Library of Ancient Video History; your mileage may vary.