To get from Lauterbrunnen to Lichtenstein in March you will have to take the Autobahn (Interlaken - Bern - Zurich - Mels), as all the mountain passes will be closed (unless an extremely unusually warm Winter and early Spring). We've seen them closed even in June.
If you plan to visit Gimmelwald anyways (and I highly second that idea), I would pick Mürren over Lauterbrunnen even in my sleep while dead drunk. The views from Mürren compared to Lauterbrunnen are like comparing a Mercedes to a Kia; maybe a Mayback to a Yugo. No, probably not - just a Mercedes to a Kia. Both can be satisfying, but one is significantly more so.
As for Lichtenstein, "to knock that country out"?? Either visit it, or don't. If all you want is a check-mark, make the check-mark. No one will know.