Plaintext Size Limit for ECIES with AES-128 CBC mode Using the ECIES (Elliptic Curve Integrated Encryption Scheme), is there a limit size of plaintext? (what is the maximum allowed number of bytes to be encrypted with ECIES).
You are using CBC mode in ECIES. In the CBC mode the $i$-th ciphertext is calculated as 

$$c_i = E_k(m_i \oplus c_{i-1})$$

where the $c_0=IV$

Now, there is a problem with CBC mode that is if the adversary can see that $c_i = c_j$ for some $i,j$ with $i \neq j$ then they can calculate: 

$$m_i \oplus c_{i-1} = m_j \oplus c_{j-1}$$ 

and by x-oring both sides they can learn 

$$m_i \oplus m_j = c_{i-1} \oplus c_{j-1}.$$ 

This is ciphertext collision and the probability is given by the birthday bound, $\mathcal{O}(\sqrt{2^n})$, where the $n$ is the block size. So it is not advisable to have more than $2^{64}$ blocks. But in practice, you may reduce this into lower sizes to reduce the change of this attack from 50% to your target security level.