Confused- Another Tyre Question

Good afternoon all, I've just gone outside to jet wash the new wheels (managed to get some Ultralights) which came with tyres (great considering my fronts are stamped 2010!!) I believe all 4 are non directional as I can't see a roll direction arrow and they're not an arrowhead design (Falken Ziex ZE310) which means I can put them on either side of the car right? Even though though there does seem to be some angling to the tread design...

HOWEVER on closer inspection of the tyres already on the car I noticed the fronts are directional (Toyo Proxes T1R) while the rears are not (Toyo Proxes TR1)... Surely they should either all be directional or all be nondirectional right?

Anyone able to shed any light here?
Basically two questions
1) do my falkens need to go on specific sides based on the tread angle?
2) is the Strange Toyo TR1/T1R setup it already has a mistake or is that normal? (In which case do in need directional fronts) 

Thanks everyone

As far as I have been able to google the Falken Ziex ZE310 tyres are non directional so can go on either side.

The earlier Toyo T1R is considered a better tyre than its succesor the TR1.
I'm in the same boat as you in that my car came with almost brand new T1R's that are dated 2013 front and 2014 rear. They even have the green marker in the tread.
I thought I had dropped lucky when I saw the tyres but when I got home I saw the date stamps and did a double take.
I even checked with Toyo.
The Falken 310 is rated better than the current Toyo TR1 by Tyrereviews.
I plan to go 205 x 15 all round with the Falken 310...or 195 x15 all round with Michelin PS3's which are superb tyres. I have them on my MX5 and the grip, feel and roadholding are amazing.
I'm not bothered about the TF stagger front to rear.
By all accounts the Falken 310 is a very quiet tyre which I believe is not directional.

Tyres can be a touchy subject!

Thanks both, 

Yeah tyres really can be a very touchy subject indeed, break in my MK1 Focus ST days there were a huge number of tyres available and at least 10x as many opinions, I've not experienced the car enough to feel the difference of tyres yet but definitely didn't want to do any more driving on nearly 15 year old fronts, so the fact the Ultralights came with tyres (all of which have 5mm+) was a bit of a no brainer.
It appears they're quite rare wheels too so feels something of a privilege to be running them.
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I would be interested in what you think about the Falkens.
Tyre stiffness, turn in, quietness and general roadholding.
Thanks.

The ultralight were prohibitively expensive when they were offered as a factory option which is the reason there are so few sets available. An arm and a leg.