I mean, the E1-S is Component and RGB only and there is no clean way to go Composite or S-Video to one of those since they're fundamentally different formats. You pay a quality loss to convert, however minor. Better to capture in the native format. Composite and S-Video are encoded in NTSC, PAL or SECAM which don't exist in the other two formats.
A very popular Composite + S-Video and audio USB capture device I have is the I-O Data GV-USB2 Video. There are some websites that show how to set it up since it's a Japanese product but installs in English just fine. Doesn't need USB-3 blue port since we're talking Standard Definition video.
For video deinterlacing, it lets you choose from high motion, low motion, weave or bob. You may want to choose weave, which is basically 30 Hz NTSC or 25 Hz PAL passthrough by combining 2 frames into one. You may get visual artifacts. Then you can use OBS or whatever other deinterlacing software you want. OBS deinterlacing has Yadif which is motion adaptive but also a Retro option that
this video sets up with GV-USB2. I never played around with the differences.
GV-USB2 has options for NTSC-M (non-Japan), NTSC-J (Japan), NTSC at PAL's 4.43 MHz and PAL-B. I think its high motion deinterlacing meant for video games looks good and what I've used for streaming. S-Video looks appreciably better than Composite over Twitch. Just for audio that E1-S doesn't capture, if you care a great deal about audio, there are audio-specific USB and card devices.