Mt Fuji climb in mid March

Is it available to climb Mt Fuji in the middle of March? I'm experienced hiker. I'll come to visit my friend soon for her wedding and have just 2 weeks to stay in Japan. What would be the weather that time (average temperatures day/night , sunrise time)? Are there any open shelters along the trials? I read huts are closed out of peak season. Is the path marked in the snow?
Thank you

Is it available to climb Mt Fuji in the middle of March?

No.

I'm experienced hiker.

Hiker or mountaineer used to snow climbs?

What would be the weather that time (average temperatures day/night , sunrise time)?

Average -19 to -10 Celsius.

Current Forecast
http://www.mountain-forecast.com/peaks/Fuji-san/forecasts/3776

Are there any open shelters along the trials?

In general, no.

I read huts are closed out of peak season.

Usually correct.

Is the path marked in the snow?

Probably not.

To be honest I wouldn't consider attempting it unless you are an experienced alpinist and have done many similar climbs in cold weather conditions and even then it is probably pretty dangerous due to the temperatures and the winds, plus the snowfalls/avalanches.

Some useful pages:-
http://www.garyjwolff.com/climbing-mt-fuji.html

Winter Climbing - note the warning:-
http://www.pefferkoven.de/mt-fuji-winter-climbing.php

Enjoy your trip!

Thank you for your advises.
After reading all this I have decided to come to Japan another time again to safely enjoy my climb to the top of majestic Mt Fuji.

Mt. Fuji is possible in winter, but it is a serious Alpine climb requiring crampon and ice axe skills, navigation ability, and proper equipment for the extreme weather.

There is risk to climbing it, but most of those risks can be managed by following common sense, climbing in good weather, carrying the proper gear, and having the proper training.

I'm a mountaineering guide here in Japan and do bring people up Fuji in the winter. The first day we spend working on those winter climbing safety skills. If you are interested have a look.

http://www.kantoadventures.com/winter-fuji-ascent.html

As everyone has warned it is a serious endeavor not to be taken lightly.

If you're still interested and will be there, I'll make an attempt on the 24th/25th of March. Let me know.