Vinaa, re Tony's comment on the recent flooding.... all back to normal now (for visitors at least). The flooding was an example of why it's best to avoid that cyclone (hurricane) season. Even if the storms don't get to cyclone strength they can be pretty damaging.
Re safety: it kind of depends what you'll be doing. If you're sticking to the popular tourist areas and staying at a resort, you'll have very little to worry about.
Fijians are generally pretty friendly, but if you're going to explore some of the off-the-beaten-track locations exercise the usual caution.
It's not a great idea to walk alone on any isolated beaches day or night regardless of where you are.
I've been with my family, and we do stick to the resorts, and I've always felt comfortable to let my kids have (limited) free range within the grounds.
You'll love Fiji, it's great.
WorldNomads.com has a stack of other safety tips here:
Phil from the safety hub about 6 years ago
Yesss, is safe to go by your self. I was in New Zealand, and i took a break and went to Fiji for a week!!! Is awesome!!!!! i went to Beachcomber Island... you ll meet a lot of people there. Don´t be afraid... you will have so much fun!!!. about 6 years ago