I'm no expert here, but I think you have a case.
1. If they're splitting your job between other two then they should/could say there's two jobs and three people. They should/could open that to competition. You might say "but I wouldn't get one of the jobs" in which case it's unfair and they've chosen to get rid of you.
2. I think they have to give you 90(?) days consultation period advising that your role is at risk. They should advise you of the criteria for selecting who will lose the job which you can challenge. Can't be on things not in your contract or job description, e.g. being a blue. If they've already decided you're out then they would normally pay you the 90 days, not 60 days pay.
I would say you are seeking professional advice and see what they say. They might get nervous and make a better offer. Normally third offer is as far as they'll go. You are in danger of taking opening offer.
I'm assuming there's no clear reason they want you gone - inappropriate behaviour, bad work, boss is a red, etc.
As someone said, don't give them a reason to fire you. Work your hours, don't check dodgy sites, do your job as contract/JD says.
Ultimately, you're gone. They don't want you.
Make getting a good written reference part of the deal. Move onwards and upwards. Best of luck.