Job searches are always to be done discreetly.
Your present employer has become doubtful of your interest to continue which may impact upon you.
You need to clarify from new employer HR and sense from what is being said or unsaid and take a decision.
Do not let things hang in between.
Remaining employed is always important.
8th July 2018 From India, Pune
8th July 2018 From India, Guwahati