Would a 13" MacBookPro run the LG 34UC97 - 34"?

My son is thinking of investing some serious cash on a laptop/external monitor workstation and I just wanted to help him check first what results he could expect. If anyone had any advice would be much appreciated.

He is thinking of the 21:9 34" LB super-widescreen monitor

LG 34UC97 - 34

Its has:

Native resolution: 3440 x 1440 pixels at 60 Hz

Then he is after a very portable macBook Pro to run it and use on his work at other offices etc. So probably one of the 13" Retina. (The top-range 15" has a better graphics card I know but is getting into prohibitive cost overall).

According to the tech spec on the 13" it reads:

Thunderbolt digital video output

• Native Mini DisplayPort output
• DVI, VGA, dual-link DVI and HDMI output supported using Mini DisplayPort adapters (sold separately)

HDMI video output

• Support for 1080p resolution at up to 60Hz
• Support for 3840x2160 resolution at 30Hz
• Support for 4096x2160 resolution at 24Hz

So I have two main questions really:

1) The LG had two Thunderbolt ports so is that a better option than HDMI to achieve highest-possible resolution?

2) If HDMI is actually a better bet, from above it would seem he could only run using the full 3440 x 1440 at 30Hz. He will largely be using it as a workstation for tons of palettes etc but of course will also want to hook up his PS4, does anyone know if 30Hz (as opposed to full 60Hz) is going to be noticeably poorer?

Many thanks for any advice/tips. He's waiting until El Capitan ships with the MBPro so probably buying within about a fortnight now with any luck.