I presume your questions relate to satisfying the EEA regulations and persuading people that you do satisfy them. 'Residence permit' suggests ILR, which is why you are worried about your conditional discharge. For the EEA regulations, a single conditional discharge does not matter.
aeun-flux wrote:I am Indian came in 2007 and have a EEA FP until July 16. My wife came in UK in 2009 and in 2011 she received her WRS card. There was a gap in employment of my wife from Nov 2011 till May 2012, and then she registered as self-employed.During this time I have been working. Around 2013 she got back intoemployment which she is still continuing. As well in august 2013 i had RT offence and in 2014 i was convicted for it and was given conditional discharge for 2 years and spent in Feb 2016.
What you refer to as an 'EEA FP' is probably a 'residence card', valid for 5 years. An 'EEA FP' is only valid for 6 months.
You could simply apply for a further (5-year) residence card, and then the recommended form is the old EEA2.
However, your wife may have achieved permanent residence, in which case it would make political sense for her to apply for a Document Certifying Permanent Residence (DCPR) and for you to apply for a permanent residence card. You can apply together for the period up to your 5th wedding anniversary. (I assume you married in the UK.) The problem is the gap in her employment.
Now, if for some reason you had 'Comprehensive Sickness Insurance' for this period (not likely, but possible), and your joint income was high enough to disqualify you from benefits, then she would count as 'self-sufficient', and she would have and you would be about to qualify for permanent residence.
Was she actively seeking work from the end of employment to the start of self-employment? Was she in this state for less than or more than 6 months?
Was self-employment successful?
Unfortunately, someone else will have to advise you using your answers; I know too little to offer sound advice on the issues.