Are they likely to try to get costs against me?

[Lilyofthe]

Hi everyone. Never thought I'd be here but here we go.
I launched an employment discrimination case against a major financial institution. They had called me names I cannot write here (written evidence of this) , I had evidence of managers being extremely rude/disparaging about me. They threatened me with my employment as I couldn't return to an office and needed to WFH due to disability, which I provided evidence of. They put me in a state of near suicidal-depression for a period of time and I felt I could not escape.
I pleaded with them to please stop their behaviour but it did not, it only continued.

I eventually gave up, went to ACAS, got no luck with early conciliiation, went to tribunal. However, we're still in the early phases technically speaking though several months in. We have a second preliminary hearing booked 8 weeks from now. That hearing is scheduled to be public as the employer is disputing disability. I have been pretty much done with all of this for a while and expressed this, my solicitor attempted settlement - they refused.

Well, I am done. I am not sleeping, not eating, I have other family I am worried about, and I simply cannot carry on with this.
My solicitor thinks some elements of my case have merit, but other parts will be more difficult to argue and he is not convinced it will succeed - though he can't say it won't either. He is funded by my union, who are limited in their funding and need to be 100% something will win.

I have decided as of this morning to withdraw and get a new job, and feel massive relief. Yet, I am now worried:

Will my employer pursue a costs order against me for wasted time? And if they did - would this be public? I do not want any of this to be public, and was perhaps naive in thinking it would not be.
My solicitor says there is a tiny chance they will pursue, but they will not get it. But if they did - would it be in the public sphere?

[atticus]

I would try to reopen settlement negotiations. See if you can get something, but at the very least aim for a 'drop hands' settlement.

Hasn't your solicitor suggested this?

[Lilyofthe]

I would try to reopen settlement negotiations. See if you can get something, but at the very least aim for a 'drop hands' settlement.

Hasn't your solicitor suggested this?

I've only just told him that I'm withdrawing my case so he's not had chance to respond yet, but i'm just wanting to reassure myself that even if things are withdrawn, that it's very unlikely costs get pursued and if they did, would it be public? Probably seems a stupid thing to be worried about but I'm honestly so paranoid about that.

[ULA]

Unfortunately no-one, not even your solicitor, should give reassurance that if the respondent pursued a costs order that a judge may not find in their favour.

That said the basic principle of the Employment Tribunal is that each party pays their own costs.

if any Judgement is made regarding a costs order then it will be public domain.