Speaking to Detained in Dubai, an organisation that monitors such cases, Graham said: "Patricia and I have not been able to relax for a moment. We never dreamed we would have to face something like this.
"We can't believe that this nightmare has gone on for three months. Jamie is a good boy. He has never been a problem and never in trouble.
"We are a very close family and it is killing us to think of him spending even three nights in jail, let alone three years."
The family say their finances have been left in tatters by the ordeal, which has cost them about £32,000 ($59,155) so far.
Harron was sacked from his job amidst the proceedings, forcing him to rack up large credit card debts.
Graham also blasted the Foreign & Commonwealth Office for promoting Dubai as a holiday spot to British tourists, and failing to mention the risks faced by visitors.
"People have to stop visiting that country," he said. "Since Jamie was arrested, I have researched and found that this is more common than any of us think.
"It is unacceptable the FCO actually promotes the UAE to British tourists."
Harron added: '"The whole thing is like a horrible dream and I just don't know when it is going to end. I thought it would be over by now but it feels like it will never be.
"I am lucky I have friends to stay with but this has broken me, financially and emotionally.
"I am in debt because of the legal fees and won't even be able to afford to appeal the case if it doesn't go in my favour."
Harron, an electrician, had been having a drink with friends at a popular venue for young people in the Tecom area of Dubai when they noticed a Jordanian man looking over at them from the edge of the dance floor in a "confrontational" manner.
They decided to move to avoid aggravation, but as Harron passed the man, he placed his hand on the man's right hip to ensure they didn't bump and spill drinks "in a move familiar to most UK patrons of crowded pubs".
The man showed no sign of agitation as Harron and his friend passed, but he later became very animated before the police appeared outside.
The man began animatedly talking with them, pointing at Harron, who went to see what the problem was.
The man, his friends and the police were speaking in Arabic; the accuser occasionally shouting in English, "He's been drinking, and he touched me improperly, I will get you deported, do you know who I am?"
The police asked Harron to apologise which he "gladly did". But his accused was "not mollified" and demanded police arrest him.
After days in Al Barsha prison, where he was not allowed to wash himself or brush his teeth, prosecutors told Harron he was charged with drinking alcohol and "public indecency".
When he was released to stay with friends his passport was seized by police.
Detained in Dubai said Harron had been to Dubai many times on holiday and "knows and respects" the country's laws.
"Jamie denies this latter charge vehemently, restating that his only intention was to avoid spilling a drink.
"Tourists who consume alcohol at licensed venues can still be arrested for having alcohol in their system. Most tourists are not aware of this fact. A number of British nationals have been caught out by this contradictory application of the law.
"When Jamie was in his prison cell the night of the arrest, his friend accompanied him to the police station. The accuser and his friends were also there.
"The accuser's friends were telling him to just drop the matter, and that he had taken it too far. Jamie's friend was sitting next to them all and heard the whole discussion.
"Jamie's friend is acting as his witness, as is the sympathetic security worker of the pub where the incident happened. The bouncer saw the whole incident and confirms Jamie's version of events."
Harron's lawyer said the arrest was another example of how vulnerable tourists are to arrest and detention in Dubai.
"We have received a wave of new cases of British nationals detained in Dubai and the Foreign and Commonwealth Office need to increase travel warnings to citizens intending to visit or live in the country.
"If Jamie is sentenced to prison, he faces human rights violations and torture. The English High Court has ruled against extradition to the UAE based on the 'very real risk of unfair trials and torture' but the UK government has refused to increase warnings, largely due to their financial and diplomatic ties with the UAE.
"Jamie and his family are anxious for him to be back home in Stirling as soon as possible."
Edinburgh plasterer Billy Barclay, 31, was released this week after being held for trying to swap £20, which he did not know was forged, at a bureau de change in Dubai.
