By Vicky Shaw, PA Personal Finance Correspondent & Lawrence Matheson The housing market is set to spring back to life, with surveyors predicting a rise in house sales in the coming months. March saw a steady uplift in sentiment, with an increase in both home buyer demand and the supply of available properties, according to the Royal Institution of Chartered Surveyors (Rics). However, Rics warned that high mortgage rates could limit the potential for a significant boost in housing market activity. In March, a net balance of 8% of property professionals reported an increase in inquiries from new…