A 21-year-old woman was prosecuted earlier this year for taking pills to induce a miscarriage, while a mother has been charged after ordering medication over the Internet to help her daughter end an unwanted pregnancy.
The prosecutions have fuelled a campaign against one of Europe's most stringent abortion laws and a backlash by anti-abortion campaigners and the Catholic Church who have urged voters to boycott candidates favouring reform.
"I am not coming at this from an ideological viewpoint but as someone who lives in the real world," Ruth Patterson, an independent unionist candidate in the South Belfast constituency.
Northern Ireland currently bans abortion in all cases except when the life of the mother is in danger.
More socially conservative than most parts of mainland Britain, it never adopted the laws on the issue governing the rest of the UK which were passed in 1967.
The only two European states with stricter laws -- total bans on abortion -- are Malta and the Vatican. Ireland also has tough legislation banning abortion in the vast majority of cases.
The incumbent power-sharing administration in the UK province unites historic foes the Democratic Unionists -- a mainly Protestant party which wants Northern Ireland to stay in the UK -- and Sinn Fein, Catholic republicans who want a united Ireland.
Unionists and republicans were divided during three decades of sectarian unrest which killed around 3,500 people and was largely ended by a 1998 peace deal.
The Democratic Unionists pointedly fail to mention abortion in their election manifesto.
Sinn Fein has pledged to legislate in favour of abortion in cases of fatal foetal abnormality, rape and incest.
McGuinness said there would be "no hiding place" in future, adding that he did not want to live in a "backward" place.
Pro-choice groups have staged protests against the three-month sentence suspended for two years given to the 21-year-old woman who aborted her foetus, which spares her jail but means she now has a criminal record.