Powering the box with a cigarette lighter

Good evening everyone, I have a question (perhaps not very relevant) but I need your help.
I will soon be buying a JBL speaker (link: http://www.sonovente.com/j-b-l-jrx-212-p40572.html)
With the following specifications: - Power: 250 W RMS (1000 W PEAK)
- Woofer: 12" (31 cm) - MAX SPL: 128 dB

However, I would like to install it in my car, but it requires a mains power supply.

So I thought about a converter from 12 V (car cigarette lighter) to 220 V (mains).
Here are the specifications of the converter:
- Specifications:

Nominal power: 300W

Peak power: 600W 150 W

Input voltage 11-15 VDC

Output voltage 200-230VAC / 50Hz +/- 3Hz

Fuse 30A

USB: output 5VDC-0.5A

Double protection against vehicle battery discharge

Given my rather poor skills in electricity, I would like to know if anyone could enlighten me on the following questions:

First, will the above setup work (or at least can I get a confirmation^^)?
If yes, taking into account the consumption of the speaker and the car converter, if I play sound, will it last more than 10 minutes?^^
And if someone has a better solution for using my speaker in my car, I am open to suggestions :)

Thanks in advance to everyone and sorry if my questions are a bit off ^^
Good evening :)