It has a "timer" etc. If you wait several seconds after cutting off, it goes back to Hi-mode.
If you cut it back on immediately, then the next mode is activated.
Not mine. It ALWAYS goes to the next mode in the series, whether it's left off for a couple seconds, an hour, or a week.
That points up one of the main problems with this light: you never know just what you're going to get. It's not a single product but sort of an "umbrella" of lights, probably from different manufacturers, which can differ in terms of tint, modes, and so on. At least they're cheap enough that it's not a big deal if the light you get isn't the light you thought you were buying.
For practical use I prefer my genuine SK68. It has a much nicer tint and single mode is fine for my uses. The idea of a "genuine" cheap Chinese flashlight is slightly bizarre, but whatever.