should I publish in journal that has no IF
There's a lot behind your question that should be clarified.


You are not finding an impact factor for the journal because it is not indexed in Science Citation Index (SCI). All journals not indexed by SCI do not have an impact factor. SCI has its criteria for indexing, one of which is whether papers published in the journal receive citations from the other journals already in the index. Not having an impact factor is usually a bad sign in the sense that the journal is not prestigious. It does NOT mean that the journal is predatory.
ESCI is a lower-ranking index. Journals listed here are being considered for the more prestigious indices. Notably the ESCI does not feed into the SCI, but to the "next tier" of citation indices. If the best the journal can say is that it's indexed by ESCI, it's definitely not a prestigious journal.
I don't know what HSCX is and can't find it via Google, but assuming it's got to do with the h-index then it literally means nothing. A h-index of 12 means that the 12 most cited papers published by that journal/person have been cited at least 12 times each. Since this calculation is so generic, the moment a single paper is published, it can be calculated. If you've ever written a paper before, you have a h-index. 
Quoting a h-index on the website does not mean that the journal is predatory. Predatory publishers do something completely different, the most important hallmark being they publish without really performing peer review. They can afford to publish junk because the authors pay for it (i.e. open access). Since the journal you linked is subscription-based, I can virtually guarantee it is not predatory.


tl; dr: the journal is likely to be low-prestige, but it is almost surely not predatory.

As to specific questions:


  Is publishing in journals with no Impact Factor a bad thing for my carrier?


Usually, yes. The more prestigious the venue of publication the more people read it and the better it's regarded.


  Can I verify whether this journal a predatory journal or not?


Yes. See this question.