IR/UV related questions

The hot mirror that you removed blocks both UV & IR so you will indeed have made the camera more sensitive to those wavelengths. If you've not replaced the hot mirror with anything the focus distances are going to be affected, but hopefully not so much that you can't take some interesting shots with it.

When you're not shooting in visual darkness you'll probably want to use filters to limit the wavelengths being imaged at any one time. I do this a lot with my full spectrum modified cameras, as well as standard long pass IR filters strongly coloured photographic filters can be used (nearly all of these transmit IR as well as the visual colour).

Imaging UV will probably prove difficult, even without the hot mirror sensors are not as responsive to UV as they are to visual light. then lenses will often block considerable UV as well. The small lenses on compact cameras should be better than big SLR lenses in this respect. All the affordable UV pass filters (like Schott U330) also transmit significant IR - this wasn't an issue with film which isn't sensitive to IR but makes the IR portion significant with digital imaging. UV is generally less interesting for imaging, but skin & flowers can make great subjects looking very different in UV. the combination of UV & IR generally works much better for landscapes than UV alone does.

If you don't want to wait for filters to arrive there are a couple of DIY options that will give IR while drastically reducing visible light and you might just have around.
Magnetic media from old floppy disks works but reduces the IR significantly too.
Unexposed but developed film negatives work reasonable well if you have some around from the end of a roll.
Variable ND filters are quite effective when set to their darkest.

Shooting 'full spectrum' (as your conversion without additional filters)  can sometimes give interesting results but typically just looks like the colours are wrong. portraits tend to be among the better subjects for this. Clothes can change colour significantly (especially blacks) & skin will tend to have a little of the infra red glow...

You might also want to get yourself a IR flashlight with IR LEDs these can be quite reasonably priced & they'll be much brighter than the TV remote.

The pinkish hue you got is very common for 720nm IR shots, simply desaturating should give nice monochrome IR results, otherwise customised white balance is usually required.

Have fun !!