“Nunnally (1978) recommended calculation of coefficient alpha (also known as Cronbach alpha) in order to assess the reliability of a multiple-item variable.
Problem 4: What can we do when Cronbach’s alpha is below 0.7?. According to Sekaran and Bougie (2013), reliabilities less than 0.6 are considered to be poor, those in the range of 0.7 – 0.79 are said to be acceptable, and those above 0.8 are said to be good. According to Ramayah (2011), Cronbach’s alpha coefficient values of more than 0.7 are considered good but values of more than 0.5 are acceptable. Define reliability using Cronbach’s Alpha > 0.7, (Hair, 2005). Problem 3: Any Citation for Cronbach alpha more than 0.6 is acceptable?. In EFA it is widely accepted that items with factor loadings less than 0.5, and items having high factor loadings more than one factor are discarded from the model. But I strongly recommend you to conduct a EFA first to assess your variables then go on with CFA. If these displays are in the suitable ranges which are widely known in the literature, do not worry about the factor loadings. In CFA models there are some displays concerning the fitness level of your model. Problem 2: What is the acceptable range for factor loading in SEM?. Source: Hair JF, Black WC, Babin BJ, Anderson RE, Tatham RL (2006). 
Problem 1: What are the goodness-of-fit criteria in structural equation model (SEM)?.Courtesy to all sources are mentioned along with the respective post/suggestion. Most of the problems and their remedies are either taken from a book or academic social interactions, e.g. This post presents some very common issues we face when doing Structural Equation Modelling (SEM).
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