Quick test: Swap the SFPs with a known working ones on the switch (if possible) and see if the condition stays with the ports or follow the SFPs.
If the other SFP works in the current "problematic SFP ports" there is less possibility of this being the switch's problem (I still could be, but just unlikely).
You can try to plug it in the other switch's too... if it's problematic there, it's almost guaranteed to be the SFP, unless you got the One-In-A-Million chance of having two switches with exactly the same freaking bug - extremely unlikely
If after all that JTAC still insist for RMA on both switches, just escalate the issue to get someone more reasonable at their end.
Edit: I've just seen that it was a mislabeling issue, you might want to mark this question as answered. :)
Many types of fiber connections, including 1000base-LH/LX, use two strands of fiber. However the strands are actually used individually as dedicated TX and RX on each and the traffic on each strand is entirely unidirectional.
So when you are connecting two such devices, you need to cross the strands at some point so that TX on one side matches up with RX on the other. If you do not do so, you end up in a situation where TX on one side is connected to TX on the other and RX is connected to RX. This results in no link connectivity.
Fiber patch cords typically come from the manufacturer either straight through or crossed depending on the manufacturer. Depending on the number of cross connects, either one could give you the end result of a straight through connection (i.e. an even number of crossed connections results in a straight through connection).
In a cross connect situation like you describe, where there is connectivity between floors by a third party, often they will provide you a straight through connection. The reason for this is that you are free to use the cross connect with any fiber solution you wish, which may include a solution that uses a single strand bidirectionally. However there may be a number of different cross connections along the path, and if they don't tell you specifically whether it is straight through or crossed, it may be either.
Most fiber patch cords use some sort of plastic piece to connect the two strands of fiber together for easier insertion and removal. There is usually some means of detaching the strands from this plastic piece so that you reverse the strands and re-attach, but the exact means varies depending on the manufacturer (and sometimes the production run).
For example, some of these will open on some sort of plastic "hinge" that will open and allow the strand to be removed. Others may require a "twisting" motion to remove and insert. I know I have come across GBIC based cables where there are two plastic halves that enclose the strands, but I haven't seen that personally with LC connectors but I would imagine it's possible as well.
Best Answer
Comments converted into answer: Please spend a bit of time learning the actual terminology rather than inventing your own, which confuses both you and us. An SFP (small form pluggable) is not a connector. It typically HAS one or more often two female optical connectors as part of itself, but what it IS is an electro-optical transceiver. The 10 Gig ones are not SFPs, they are SFP+ The optical cable does not matter if it's the right family and clean, what you need to is know what the SFP (or SFP+) that you are connecting to at the switch is, and get one compatible with it. Clean, by the way, is a VERY big deal with single mode fiber connections.
And the SFP+ you have shown (without showing the relevant part where the cables plug in) most likely needs a pair of optical cables, not a single cable. If it has two optical connectors, one is transmit, one is receive. Transmit at one end connects to receive on the other. I'd guess that 10GE-LR is intended to be 10GBASE-LR, which is 1310 nm lasers on single-mode fiber up to 10 kilometers, not a bidirectional standard.
https://en.wikipedia.org/wiki/10_Gigabit_Ethernet
The cable test tag on your patch cable showing what its insertion and return losses at various wavelengths were when it shipped from the factory is utterly irrlevant to the choice of the correct SFP+ - which seems to be your question, buried under a lot of mis-used terminology you need to learn if you have anything to do with this equipment.