Evening All

I hope you are all well.

Clarification please on two points.
Once convictions are spent (according to the date of the online calculator from this website.)

Will they simply just drop off on the date stated? 

Are there any catches like any sort of lapse periods or anything?

So for example if my convictions are due to be spent on 2nd October 2018

Could i go online order a copy of my DBS certificate on the 3rd of October and because my convictions were spent the day before they would not show up on the DBS correct?

Also

If a application form says 
"Do you have any criminal convictions?"

It does not specifically state whether they are talking about SPENT or UNSPENT
neither does it mention anything about being exempt from the ROA

once my convictions are spent i assume i can legally tick NO?

however, if the check comes back as a standard DBS and they see convictions and refuse me the job (or sack me) stating that i lied on the application form, could the company potentially face a claim against them?

many thanks

Neo